Factoring Polynomials Using GCF and Difference of Squares

Factor x² – 16.

• (x + 2)(x – 8)

• (x – 4)(x – 4)

• (x + 4)(x + 4)

• (x + 4)(x – 4)

x² - 100

• ( x - 10) ( x - 10)

• ( x + 10) ( x + 10)

• Does not factor (prime)

• ( x - 10) ( x + 10)

Factor:

5x² - 45

• 5( x - 3) ( x + 3)

• 5( x + 3) ( x + 3)

• Does not factor (prime)

• ( x - 3) ( x + 3)

Which of the following polynomials is a Difference of Two Squares?

• (x - 4) (x + 5)

What is the process of finding the factors of an expression which is the reverse process of multiplication?

• rationalization

• special product

• continuous division

• factoring

Refers to the common factor having the greatest numerical factor and with variables having the least degree.

• Least Common Multiple

• Greatest Common Factor

• Perfect Square

• Difference of two squares

What is the GCF of 𝑥 ² and 𝑥 ⁹ ?

• x²

• x⁷

• x¹¹

• x⁹

What is the GCF of 2a³ and a ⁶?

• a³

• 2a³

• a⁶

• 2a⁶

What is the complete factored form of the expression 𝑦 ⁴ − 49?

• (𝑦 ² ) ² − (7 ² ) ²

• (𝑦 ² − 7) ²

• (𝑦 ² + 7) ²

• (𝑦 ² − 7) (𝑦 ² + 7)

What is the GCF of 𝑥𝑦 ¹⁰ ,𝑥 ⁴𝑦 ⁶ , 𝑥 ⁹𝑦 ⁹ , and 𝑥 ¹⁰𝑦 ¹⁰?

• xy

• xy⁶

• x⁴y⁴

• x⁴y⁶